{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 14. sklearn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "scikit-learn是python中最有名的机器学习库，构建在numpy, scipy, matplotlib之上，使用起来很简单，速度还很快，而且代码开源，可以在github上学习它的源码，学习各种机器学习算法的实现过程。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "sklearn中有几个部分\n",
    "1. clustering包含了常用的聚类算法\n",
    "2. datasets包含了常见的开源数据集\n",
    "3. ensemble包含了常用的集成学习算法\n",
    "4. linear_model包含了常用的线性模型\n",
    "5. metrics包含了常用的指标\n",
    "6. naive_bayes包含了朴素贝叶斯相关的算法\n",
    "7. neural_network包含了神经网络相关的模型\n",
    "8. svm包含了支持向量机相关的算法\n",
    "9. tree包含了树模型相关的算法\n",
    "\n",
    "我们的课程主要会涉及以上几个部分的使用"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "首先先来演示一个使用sklearn完成分类任务的例子"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# License: BSD 3 clause"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这里引入我们需要使用的模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入数据集\n",
    "from sklearn.datasets import make_moons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入数据预处理工具\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入模型\n",
    "from sklearn.neural_network import MLPClassifier\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入评价指标\n",
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.metrics import precision_score\n",
    "from sklearn.metrics import recall_score\n",
    "from sklearn.metrics import f1_score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 生成数据集\n",
    "我们生成一个只有两个特征的数据集，所以可以在二维的平面上绘制出来"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这个make_moons函数是sklearn.datasets中的函数，可以生成两个半月形的数据点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_moons(n_samples = 100, noise = 0.3, random_state=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "X是数据，包含100个样本，两个特征，y是标记，两类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1,\n",
       "       0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0,\n",
       "       0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1,\n",
       "       0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0,\n",
       "       1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0], dtype=int64)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 2)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对数据进行可视化，横轴是第一个特征，纵轴是第二个特征，颜色表示类别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x29253b666d8>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 8))\n",
    "cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n",
    "plt.scatter(X[:, 0], X[:, 1], c = y, cmap = cm_bright, edgecolors = 'k')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据预处理"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对数据进行标准化处理以及训练集和测试集的划分，随机选取了60%的样本作为训练，40%作为测试，所以我们会使用60个点进行训练，40个点进行测试"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = StandardScaler().fit_transform(X)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=.4, random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "X_train表示用来训练的特征数据，y_train是其对应的标记  \n",
    "X_test表示用来测试的特征数据，y_test是其对应的标记"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来对数据集进行可视化，不透明的样本为训练样本，半透明的为测试样本"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x29253f74080>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm = plt.cm.RdBu\n",
    "cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n",
    "plt.figure(figsize = (8, 8))\n",
    "plt.title(\"Input data\")\n",
    "\n",
    "# Plot the training points\n",
    "plt.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cm_bright, edgecolors='k')\n",
    "\n",
    "# and testing points\n",
    "plt.scatter(X_test[:, 0], X_test[:, 1], c=y_test, cmap=cm_bright, alpha=0.3, edgecolors='k')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 选取模型，进行训练与预测"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 对数几率回归"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对数几率回归又称逻辑回归，英文是Logistic regression，简称lr，是一个分类算法，常用于二分类任务，也可以处理多分类任务。在scikit-learn中，对数几率回归模型是LogisticRegression这个类，我们创建一个实例后，使用fit方法训练，需要的参数就是训练集的数据和标记。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='warn',\n",
       "          n_jobs=None, penalty='l2', random_state=None, solver='warn',\n",
       "          tol=0.0001, verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr = LogisticRegression()\n",
    "lr.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这样模型就训练完成了，接下来是预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "prediction = lr.predict(X_test) # 预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n",
       "       0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], dtype=int64)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到，prediction就是模型对那40个测试样本的预测结果，而y_test就是他们的真值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n",
       "       0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], dtype=int64)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_test"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来是用各项评价指标来评价模型的预测能力，使用模型的预测值和真值就可以计算出模型的各项指标"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "对数几率回归在该测试集上的四项指标：\n",
      "精度: 0.875\n",
      "查准率: 0.9\n",
      "查全率: 0.8571428571428571\n",
      "f1值: 0.8780487804878048\n"
     ]
    }
   ],
   "source": [
    "# 测试集精度\n",
    "acc = accuracy_score(y_test, prediction)\n",
    "\n",
    "# 测试集查准率\n",
    "precision = precision_score(y_test, prediction)\n",
    "\n",
    "# 测试集查全率\n",
    "recall = recall_score(y_test, prediction)\n",
    "\n",
    "# 测试集f1值\n",
    "f1 = f1_score(y_test, prediction)\n",
    "\n",
    "print('对数几率回归在该测试集上的四项指标：')\n",
    "print('精度:', acc)\n",
    "print('查准率:', precision)\n",
    "print('查全率:', recall)\n",
    "print('f1值:', f1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "然后我们可以使用同样的方法，使用其他的模型来实验"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 计算混淆矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import confusion_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[17,  2],\n",
       "       [ 3, 18]], dtype=int64)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confusion_matrix(y_test, prediction)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## test 尝试使用其他的模型\n",
    "### 线性判别分析\n",
    "请你尝试使用其他的模型，如线性判别分析Linear Discriminant Analysis完成模型的训练以及四项指标的计算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = LinearDiscriminantAnalysis()\n",
    "\n",
    "# 模型的训练\n",
    "# YOUR CODE HERE\n",
    "model.fit(X_train, y_train)\n",
    "\n",
    "# 模型的预测\n",
    "# YOUR CODE HERE\n",
    "prediction = model.predict(X_test)\n",
    "\n",
    "# 计算四项指标\n",
    "# YOUR CODE HERE\n",
    "confusion_matrix(y_test, prediction)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 可视化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来，我们做一些模型可视化的处理，直观的对比各个模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = 0.02\n",
    "x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n",
    "y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                     np.arange(y_min, y_max, h))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "编写绘制模型预测结果的函数，这个函数会在图的右下角给出当前模型的预测精度，还会画出模型的决策边界"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_model(model, title):\n",
    "    \n",
    "    model.fit(X_train, y_train)\n",
    "    score_train = model.score(X_train, y_train)\n",
    "    score_test = model.score(X_test, y_test)\n",
    "    \n",
    "    if hasattr(model, \"decision_function\"):\n",
    "        Z = model.decision_function(np.c_[xx.ravel(), yy.ravel()])\n",
    "    else:\n",
    "        Z = model.predict_proba(np.c_[xx.ravel(), yy.ravel()])[:, 1]\n",
    "        \n",
    "    Z = Z.reshape(xx.shape)\n",
    "    \n",
    "    plt.figure(figsize = (14, 6))\n",
    "    \n",
    "    # 绘制训练集的子图\n",
    "    plt.subplot(121)\n",
    "    \n",
    "    # 绘制决策边界\n",
    "    plt.contourf(xx, yy, Z, cmap = cm, alpha=.8)\n",
    "\n",
    "    # 绘制训练集的样本\n",
    "    plt.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cm_bright, edgecolors='k')\n",
    "    \n",
    "    # 设置图的上下左右界\n",
    "    plt.xlim(xx.min(), xx.max())\n",
    "    plt.ylim(yy.min(), yy.max())\n",
    "    \n",
    "    # 设置子图标题\n",
    "    plt.title(\"training set\")\n",
    "    \n",
    "    # 图的右下角写出在当前数据集中的精度\n",
    "    plt.text(xx.max() - .3, yy.min() + .3, ('%.3f' % score_train).lstrip('0'), size=15, horizontalalignment='right')\n",
    "    \n",
    "    plt.subplot(122)\n",
    "    plt.contourf(xx, yy, Z, cmap = cm, alpha=.8)\n",
    "    \n",
    "    plt.scatter(X_test[:, 0], X_test[:, 1], c=y_test, cmap=cm_bright, edgecolors='k', alpha=0.6)\n",
    "    \n",
    "    plt.xlim(xx.min(), xx.max())\n",
    "    plt.ylim(yy.min(), yy.max())\n",
    "    \n",
    "    plt.title(\"testing set\")\n",
    "\n",
    "    plt.text(xx.max() - .3, yy.min() + .3, ('%.3f' % score_test).lstrip('0'), size=15, horizontalalignment='right')\n",
    "\n",
    "    plt.suptitle(title)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 对数几率回归"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看到在右侧的测试集中，蓝色有三个点被模型判定为红色，红色有两个点被模型判定为蓝色，共5个样本被错误判断，所以精度是35 / 40，也就是87.5%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(LogisticRegression(), 'Logistic Regression')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 线性判别分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(LinearDiscriminantAnalysis(), 'Linear Discriminant Analysis')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 决策树"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(DecisionTreeClassifier(max_depth = 5, random_state = 42), 'Decision Tree')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 多层感知机"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(MLPClassifier(hidden_layer_sizes=(100, 100, 100), alpha=1), 'Multi-Layer Perception')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SVM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(SVC(kernel = \"linear\", C = 0.025, probability = True), 'Linear SVM')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **这里介绍的只是Scikit-learn强大功能的冰山一角，希望大家可以养成查阅官方文档的习惯**\n",
    "Scikit-learn文档： https://scikit-learn.org/stable/documentation.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
